PH-Pfaffian order in a translationally and rotationally invariant system

Abstract

The PH-Pfaffian topological order has been proposed as a candidate order for the $\nu =5/2$ quantum Hall effect. The PH-Pfaffian liquid is known to be the ground state in several coupled wire and coupled stripe constructions. No translationally and rotationally invariant models with the PH-Pfaffian ground state have been identified so far. By employing anyon condensation on top of a topological order, allowed in an isotropic system, we argue that the PH-Pfaffian order is possible in the presence of rotational and translational symmetries.

arXiv commentSupplemental Material added

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Cited by in corpus (7)

• Fractional charge and fractional statistics in the quantum Hall effects
• Bosonic Pfaffian State in the Hofstadter-Bose-Hubbard Model
• Fractional quantum Hall effect at the filling factor $\nu =5/2$
• Adiabatic Construction of Hierarchical Quantum Hall States
• Approximate two-body generating Hamiltonian for the PH-Pfaffian wavefunction
• PH Pfaffian intra and inter correlations in the quantum Hall bilayer
• Extracting the scaling dimension of quantum Hall quasiparticles from current correlations